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54018987561 = 34711291012957
BaseRepresentation
bin110010010011110010…
…000101011000101001
312011102200020220010000
4302103302011120221
51341112330100221
640452130213213
73621432550440
oct622362053051
9164380226100
1054018987561
1120a00345980
12a576a24209
13512b5aba86
1428863c7d57
15161261ae26
hexc93c85629

54018987561 has 160 divisors (see below), whose sum is σ = 105141991680. Its totient is φ = 26816832000.

The previous prime is 54018987527. The next prime is 54018987577. The reversal of 54018987561 is 16578981045.

It is a happy number.

54018987561 is a `hidden beast` number, since 540 + 1 + 8 + 98 + 7 + 5 + 6 + 1 = 666.

It is not a de Polignac number, because 54018987561 - 215 = 54018954793 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 54018987498 and 54018987507.

It is not an unprimeable number, because it can be changed into a prime (54018987461) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 18266695 + ... + 18269651.

It is an arithmetic number, because the mean of its divisors is an integer number (657137448).

Almost surely, 254018987561 is an apocalyptic number.

It is an amenable number.

54018987561 is a deficient number, since it is larger than the sum of its proper divisors (51123004119).

54018987561 is a wasteful number, since it uses less digits than its factorization.

54018987561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3117 (or 3108 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 54018987561 in words is "fifty-four billion, eighteen million, nine hundred eighty-seven thousand, five hundred sixty-one".

Divisors: 1 3 7 9 11 21 27 29 33 63 77 81 87 99 101 189 203 231 261 297 303 319 567 609 693 707 783 891 909 957 1111 1827 2079 2121 2233 2349 2727 2871 2929 2957 3333 5481 6237 6363 6699 7777 8181 8613 8787 8871 9999 16443 19089 20097 20503 20699 23331 25839 26361 26613 29997 32219 32527 57267 60291 61509 62097 69993 79083 79839 85753 89991 96657 97581 180873 184527 186291 209979 225533 227689 237249 239517 257259 289971 292743 298657 553581 558873 600271 629937 676599 683067 771777 869913 878229 895971 943283 1660743 1676619 1800813 2029797 2049201 2090599 2315331 2609739 2634687 2687913 2829849 3285227 5402439 6089391 6147603 6271797 6602981 6945993 8063739 8489547 8661053 9855681 16207317 18268173 18442809 18815391 19808943 22996589 24191217 25468641 25983159 29567043 48621951 56446173 59426829 60627371 68989767 76405923 77949477 88701129 95271583 169338519 178280487 181882113 206969301 233848431 266103387 285814749 534841461 545646339 620907903 666901081 701545293 857444247 1636939017 1862723709 2000703243 2572332741 4910817051 6002109729 7716998223 18006329187 54018987561